Phrase guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
The set of all possible tuples whose elements are elements of given, separately specified, sets.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, set-theory
Synonyms: none provided
Antonyms: none provided
noun
Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
Definition source: English Wiktionary via Wiktextract
Topics: group-theory, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
Definition source: English Wiktionary via Wiktextract
Qualifier: ring theory
Synonyms: none provided
Antonyms: none provided
noun
A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, topology
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Any of a number of mathematical objects analogously derived from a given ordered set of objects.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
Definition source: English Wiktionary via Wiktextract
Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
No etymology was provided for this word.
Across languages
3 source translations are retained for this English entry.
